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Find the derivative of f(x,y) = x +y in the direction of the unit tangent vector of the curve r(t) = (cos t+t sin t)i + (sin t-tcos t)j, t > 0. The derivative of f(x,y) in the direction of the unit tangent vector of the curve r(t) is (Simplify your answer.)

Find the derivative of f(x,y) = x +y in the direction of the unit tangent vector of the curve r(t) = (cos t+t sin t)i + (sin t-tcos t)j, t > 0. The derivative of f(x,y) in the direction of the unit tangent vector of the curve r(t) is (Simplify your answer.)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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of 3 Find the derivative of f(x,y) = x +y in the direction of the unit tangent vector of the curve r(t) = (cos t+t sin t)i + (sin t-t cos t)j, t> 0. The derivative of f(x,y) in the direction of the unit tangent vector of the curve r(t) is (Simplify your answer.)
Transcribed Image Text:of 3 Find the derivative of f(x,y) = x +y in the direction of the unit tangent vector of the curve r(t) = (cos t+t sin t)i + (sin t-t cos t)j, t> 0. The derivative of f(x,y) in the direction of the unit tangent vector of the curve r(t) is (Simplify your answer.)
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